11828112 has 40 divisors (see below), whose sum is σ = 31545600. Its totient is φ = 3815040.

The previous prime is 11828111. The next prime is 11828119. The reversal of 11828112 is 21182811.

11828112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11828111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2487 + ... + 5462.

It is an arithmetic number, because the mean of its divisors is an integer number (788640).

Almost surely, 2^11828112 is an apocalyptic number.

11828112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11828112 is an abundant number, since it is smaller than the sum of its proper divisors (19717488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11828112 is a wasteful number, since it uses less digits than its factorization.

11828112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7991 (or 7985 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

The square root of 11828112 is about 3439.2022330767. The cubic root of 11828112 is about 227.8444614771.

The spelling of 11828112 in words is "eleven million, eight hundred twenty-eight thousand, one hundred twelve".